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Question: Answered & Verified by Expert
The value of \(\cos 15^{\circ}-\sin 15^{\circ}\) is
MathematicsTrigonometric Ratios & IdentitiesWBJEEWBJEE 2011
Options:
  • A 0
  • B \(\frac{1}{\sqrt{2}}\)
  • C \(-\frac{1}{\sqrt{2}}\)
  • D \(\frac{1}{2 \sqrt{2}}\)
Solution:
2510 Upvotes Verified Answer
The correct answer is: \(\frac{1}{\sqrt{2}}\)
Hints : \(\cos 15^{\circ}-\sin 15^{\circ}=\sqrt{2} \cos 60^{\circ}=\frac{1}{\sqrt{2}}\)

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